In this contribution, we propose a new hybrid method for minimization of nonlinear least squares. This method is based on quasi-Newton updates, applied to an approximation A of the Jacobian matrix J, such that AT f = JT f. This property allows us to solve a linear least squares problem, minimizing ∥Ad+f∥ instead of solving the normal equation ATAd+JT f = 0, where d ∈ Rn is the required direction vector. Computational experiments confirm the efficiency of the new method
The class of Least Change Secant Update Quasi-Newton (LCSU QN) methods is often used for root findin...
Abstract. We propose an iterative method that solves constrained linear least-squares problems by fo...
In this paper, we propose a hybrid ODE-based quasi-Newton (QN) method for unconstrained optimization...
summary:In this contribution, we propose a new hybrid method for minimization of nonlinear least squ...
This contribution contains a description and analysis of effective methods for minimization of the n...
In this paper, we present a brief survey of methods for solving nonlinear least-squares problems. We...
One of the widely used methods for solving a nonlinear system of equations is the quasi-Newton metho...
AbstractOne of the widely used methods for solving a nonlinear system of equations is the quasi-Newt...
A new family of least-change weak-secant methods for solving systems of nonlinear algebraic equatio...
Quasi-Newton methods have played a prominent role, over many years, in the de-sign of effective prac...
We present a new quasi-Newton method that can solve systems of equations of which no information is ...
In this paper, by using a modified BFGS (MBFGS) update, we propose a structured MBFGS update for the...
This paper has two main purposes: To discuss general principles for a reliable and efficient numeric...
We propose an iterative method that solves constrained linear least-squares problems by formulating ...
A new code for solving the unconstrained least squares problem is given, in which a Quasi-NEWTON app...
The class of Least Change Secant Update Quasi-Newton (LCSU QN) methods is often used for root findin...
Abstract. We propose an iterative method that solves constrained linear least-squares problems by fo...
In this paper, we propose a hybrid ODE-based quasi-Newton (QN) method for unconstrained optimization...
summary:In this contribution, we propose a new hybrid method for minimization of nonlinear least squ...
This contribution contains a description and analysis of effective methods for minimization of the n...
In this paper, we present a brief survey of methods for solving nonlinear least-squares problems. We...
One of the widely used methods for solving a nonlinear system of equations is the quasi-Newton metho...
AbstractOne of the widely used methods for solving a nonlinear system of equations is the quasi-Newt...
A new family of least-change weak-secant methods for solving systems of nonlinear algebraic equatio...
Quasi-Newton methods have played a prominent role, over many years, in the de-sign of effective prac...
We present a new quasi-Newton method that can solve systems of equations of which no information is ...
In this paper, by using a modified BFGS (MBFGS) update, we propose a structured MBFGS update for the...
This paper has two main purposes: To discuss general principles for a reliable and efficient numeric...
We propose an iterative method that solves constrained linear least-squares problems by formulating ...
A new code for solving the unconstrained least squares problem is given, in which a Quasi-NEWTON app...
The class of Least Change Secant Update Quasi-Newton (LCSU QN) methods is often used for root findin...
Abstract. We propose an iterative method that solves constrained linear least-squares problems by fo...
In this paper, we propose a hybrid ODE-based quasi-Newton (QN) method for unconstrained optimization...